Next, in the notation from [1]}, for every \(n \geqslant 1\) , we have \(Q_{n} = n \sum _{k \in \mathbb {Z}} \min \lbrace \mathbb {P}(\xi ^{(b_n)} = k), \mathbb {P}(\xi ^{(b_n)} = k+1)\rbrace  \geqslant n \min \lbrace \mathbb {P}(\xi ^{(b_n)} = 0), \mathbb {P}(\xi ^{(b_n)} = 1)\rbrace \) . Observe that
\(\mathbb {P}(\xi ^{(b_n)} = 0) = \frac{p(0)}{G(b_{n})} \mathop {\longrightarrow }^{}_{n \rightarrow \infty }1,\) 
